Search a number
-
+
112369725 = 32521341937
BaseRepresentation
bin1101011001010…
…10000000111101
321211102222021200
412230222000331
5212231312400
615052250113
72533061346
oct654520075
9254388250
10112369725
1158480046
1231770939
131a384b80
1410cd10cd
159ce9b00
hex6b2a03d

112369725 has 72 divisors (see below), whose sum is σ = 222272232. Its totient is φ = 53913600.

The previous prime is 112369723. The next prime is 112369739. The reversal of 112369725 is 527963211.

It can be written as a sum of positive squares in 12 ways, for example, as 103673124 + 8696601 = 10182^2 + 2949^2 .

It is not a de Polignac number, because 112369725 - 21 = 112369723 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 112369725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112369723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119457 + ... + 120393.

Almost surely, 2112369725 is an apocalyptic number.

112369725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112369725 is a deficient number, since it is larger than the sum of its proper divisors (109902507).

112369725 is a wasteful number, since it uses less digits than its factorization.

112369725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 112369725 is about 10600.4587164896. The cubic root of 112369725 is about 482.5582808782.

The spelling of 112369725 in words is "one hundred twelve million, three hundred sixty-nine thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 195 205 225 325 369 533 585 615 937 975 1025 1599 1845 2665 2811 2925 3075 4685 4797 7995 8433 9225 12181 13325 14055 23425 23985 36543 38417 39975 42165 60905 70275 109629 115251 119925 182715 192085 210825 304525 345753 499421 548145 576255 913575 960425 1498263 1728765 2497105 2740725 2881275 4494789 7491315 8643825 12485525 22473945 37456575 112369725